In the present paper, we prove equality of the wave equation for Modulation Instability and Vlasov kinetic equation. On the basis of Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of classical kinetic equations, the kinetic equations for any number of Modulation Instabilities are defined and the method a solution for these equations is proposed.
Digital Object Identifier (DOI)
Yu. Rasulova, Mukhayo
"Statistical approach to dynamics of modulation instabilities in optic fibers. Classical case,"
Applied Mathematics & Information Sciences: Vol. 16:
3, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss3/5